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Advances in Mathematical Physics
Volume 2016, Article ID 4180864, 8 pages
Research Article

Strong Isomorphism in Eisert-Wilkens-Lewenstein Type Quantum Games

Institute of Mathematics, Pomeranian University, 76-200 Słupsk, Poland

Received 2 May 2016; Accepted 21 June 2016

Academic Editor: Hoshang Heydari

Copyright © 2016 Piotr Frąckiewicz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The aim of this paper is to bring together the notions of quantum game and game isomorphism. The work is intended as an attempt to introduce a new criterion for quantum game schemes. The generally accepted requirement forces a quantum scheme to generate the classical game in a particular case. Now, given a quantum game scheme and two isomorphic classical games, we additionally require the resulting quantum games to be isomorphic as well. We are concerned with the Eisert-Wilkens-Lewenstein quantum game scheme and the strong isomorphism between games in strategic form.